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mash [69]
3 years ago
7

Complete y^2+15y+56=(y+7)(y+?) ...?

Mathematics
2 answers:
Rufina [12.5K]3 years ago
5 0
The two factors of a quadratic equation can be multiplied to form the original equation. Let the missing term be a:
y² + 15y + 56 = (y + 7)(y + a)
y² + 15y + 56 = y² + (7 + a)y + 7a
We can now compare the coefficient of the like terms, either the one with y or the one without y, and find the value of a.
15 = 7 + a; a = 8
OR
56 = 7a; a = 8

Second factor is (y + 8)
Inessa [10]3 years ago
3 0

y² + 15y + 56 = (y + 7)(y + a)

y² + 15y + 56 = y² + (7 + a)y + 7a

We can now compare the coefficient of the like terms, either the one with y or the one without y, and find the value of a.

15 = 7 + a; a = 8

OR

56 = 7a; a = 8

Second factor is (y + 8)

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I need help with Question 14 . I need to submit it by monday...<br> Pls help
GaryK [48]

Answer:

Distance between A and B is 5400 meters

Step-by-step explanation:

Consider "D" the letter to identify distance between A and B

Let's use "t" to identify the time of the first encounter (Devi and Kumar), and create an equation that states that the distance covered by Devi (at 100 m/min) in time "t", is equal to the total distance D minus what Kumar has covered at his speed (80 m/min) in that same time:

Recall that distance equals the speed  times the time:

distance= speed * time

First encounter:

100 * t = D - 80 * t

180 * t = D    Equation (1)

Not, 6 minutes later (at time t+6) , Devi and Li Ting meet .

Then for this encounter the distance covered by Devi equals total distance d minus the distance covered by Li Ting:

100 *(t+6) = D - 75 * (t+6)

100 t + 600 = D - 75 t - 450

175 T + 150 = D    Equation (2)

Now, let's equal equation (1) to equation (2), since D should be the same:

180 t = 175 t + 150

5 t = 150

t = 30

Then the time t (first encounter) is 30 minutes. Knowing this, we can use either equation to find D:

From Equation (1) for example: D = 180 * t = 180 * 30 = 5400 meters

5 0
3 years ago
If a number is a multiple of 2, then it is even. Identify the hypothesis. Choose the correct answer below. A. it is odd. B. a nu
azamat
D. it is even

In the example statement, a hypothesis is being made of whether the number is a multiple of 2. The hypothesis is that it is even. And there's your answer.
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3 years ago
Please add am explanation.
iren2701 [21]

Answer:

5(k + 1) and 5k + 5

Step-by-step explanation:

The easiest way to do this is to pick any number to substitute in for the variable <em>k </em>for ALL of the expressions, and find the expressions that equal the same as the first expression being compared.

For example, lets just make <em>k </em>equal 1 to make things easy. Plug 1 into <em>k</em> into the first expression. 2k + 2 + k + 3 + 2k → 2(1) + 2 + (1) + 3 + 2(1) = 10.

Now we do the same to the rest of the expressions and see which ones ALSO equal 10.

5(k + 1) → 5(1 + 1) = 10

5k + 5 → 5(1) + 5 = 10

5 + k^5 → 5 + (1)^5 = 6

5k^5 → 5(1)^5 = 5

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2 years ago
The rules concerning the age a of a softball player in the youngest division mandate that a player be 14 years of age or under.
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The best answer should be D to show age is less than or equal to 14

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